5. Two points are 10 units apart on the coordinate plane. If
1 answer:
Answer:
8
Step-by-step explanation:
Let's say the ant is walking across the floor. Then it hits the wall and starts climbing to the ceiling.
We have a right triangle, as in the diagram, so we can apply Pythagoras' Theorem.
x² + 6² = 10²
x² + 36 = 100
x² = 64
x = 8
The ant must walk eight vertical units.
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9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
With the information given, we can set up the following system of equations:
x represents how many songs Jennie has, and y represents how many songs Diamond has.
x represents how many songs Jennie has, and y represents how many songs Diamond has.
Answer:
35% discount
Step-by-step explanation:
We can first find what percent of 32 20.80 is.
This can be shown by using a percent proportion.
We can cross multiply to find the value of .
So 20.80 is 65% of 32.
However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.
So the book was on a 35% discount.
Hope this helped!